I has been before at least and don’t see why that would have changed. Teams can do 100 km so called press runs. Mercedes have done it before in Silverstone and Lotus did the same at Jerez one day before first tests with Kimi in 2012.

@noob – Perfectly. Teams like to put a chassis through its paces before the start of winter testing, to make sure everything is working so as to save time at the tests and to make sure there are no critical issues. They are limited in how much running they can do, and with the emphasis on system checks, there is no possibility of carrying out test work.

I presume that you are being flippant for the sake of raising a laugh – the regulations state that teams are permitted up to 100km of restricted speed testing for system checks (checking electronic systems, gearbox and engine functions and so forth).
Given that Toro Rosso and Force India have also carried out similar runs today and the fact that teams have been carrying out such runs for several years – in fact, Force India and Toro Rosso actually held their launch presentations at the track during their shakedown runs last year – the only surprise is that most nobody seems to realise that it is standard practise.

On their website they posted a video having a picture of the track with engine notes in the background, until right at the end a car zips through the view (making it hard to see much of it) @spoutnik, justinf1, I will have a look to see if I can find it again later

As above Shakedowns are perfectly normal. They are just to check everything works together before proper testing. To make sure the sensors work as well. No point going all the way to Jerez to find it categorically fails or something needs a tweak that would write off the whole weekend but can be fixed quickly.

Firstly, the teams are speed restricted during those tests – the maximum speed is, IIRC, 100km/h (i.e. they usually drive around with the pit lane speed limiter on), which is of limited use for aero correlation work. On top of that, most shakedown tests take place at short circuits – aero correlation runs normally take place at constant speed in a straight line, as it is much more difficult to interpret the data if the cars are yawing and pitching throughout the run.
Secondly, the FIA sends a representative to ensure that the teams cannot fit equipment that could be used for other purposes – you cannot hide the pitot tube arrays or flo-viz paint that teams would normally use for aero correlation runs that easily.